Calculus

This question does not make sense. An object with different measurements for length , breadth and height cannot be a cube. And if the measurements are not l, b and h but something else then there is no way of calculating the size of the object.

They are, when appropriate.

There are 10 millimetres in one centimetre. Therefore, 400 centimetres is equal to 400 x 10 = 4000 millimetres.

'3x' means 'three times', and '4x' means 'four times'. '4x' is obviously rather greater than '3x', but neither will bring an object ten miles away into your back garden.

If: 2x2-3x+1 = 0

Then: x = 1 or x = 1/2

I am thinking you must mean x^2-4x+3 otherwise it would be x^2-1 which would factor as (x+1)(x-1).
In any case, it factors as (x-3)(x-1). Just look at the last number, 3 and note it has factors 3 and 1. Now need those factors to add up to -4 and their product to be positive. We must pick -1 and -3.

2 - (y + 2) = 3y

Remove brackets: 2 - y - 2 = 3y

Combine like terms: 0 = 4y

Divide both sides by 4: 0 = y

Gregorio Ricci-Curbastro

It is an expression in the variable y.

Since it is not an equation it cannot be solved.

(128 and 1/3) square feet

-11

If y = y + x then x must be 0

Otherwise the equation is meaningless.

One must be careful when using infinity in math. Infinity is a concept - not a value. Sometimes, we may be tempted to try treating infinity as a value or a variable. Whenever we want to use infinity in math, we generally do so through the concept of limits.

For example, instead of saying:

1/∞ = 0

We instead say:

lim 1/x = 0

x→∞

The use of limits allows us to use infinity without falling into the trap of attempting to do arithmetic with infinity, which is not defined. In calculus, we use limits and L'Hopital's rule to get around this, and allows us to evaluate functions which simplify to an indeterminate form (0/0, ∞/∞, 0*∞, 0^0, ∞^0 and ∞ - ∞).

Sometimes we seemingly treat infinity as a value when describing asymptotes or end behavior of a function, for example:

lim 1/x = ∞

x→0+

It is important to realize that we are not saying that 1/0 = ∞, but we are ACTUALLY saying:

"As x approaches 0 from the right, 1 / x approaches infinity."

If you mean solve for X:

3x + 52x + 1 = 0

55x = -1

x = -0.02

x = 2, y = 3

If we start with x2 + 4 = 0, the next conclusion is that x2 = -4. All real numbers have a positive result when multiplied by themselves, so therefore we are dealing with an imaginary number. The square root of minus four is 2i.

A straight line with a slope of 3 and no y intercept

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5

You look them up in log tables, or use a scientific calculator. The calculators use a method based on the Taylor series.

Isolate cos (t): cos(t)=1/3. Use a calculator from here because the answer is not an integer or a simple number.

The given expressions are:

5x + 5y = 30

3x - 5y = -30

Combine both equations to get:

5x + 3x + 5y - 5y = -30 + 30

8x = 0

Then:

8x/8 = 0/8

x = 0

Substitute that value for either of the expressions to get:

5(0) + 5y = 30

5y = 30

y = 30/5

y = 6

Therefore, the coordinates are x = 0 and y = 6.

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